Analyticity constraints on the Landshoff-Donnachie fit to total cross sections

Journal Article · Fri Dec 01 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.117501· OSTI ID:20868146

Block, M M; Halzen, F ^[1]

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1. Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208 (United States)

Landshoff and Donnachie [A. Donnachie and P. V. Landshoff, Phys. Lett. B 296, 227 (1992).; P. V. Landshoff, hep-ph/0509240] parametrize the energy behavior of pp and pp scattering cross sections with five parameters, using: {sigma}{sup +}=56.08s{sup -0.4525}+21.70s{sup 0.0808} for pp, {sigma}{sup -}=98.39s{sup -0.4525}+21.70s{sup 0.0808} for pp. Using the four analyticity constraints of Block and Halzen [M. M. Block and F. Halzen, Phys. Rev. D 72, 036006 (2005).], we simultaneously fit the Landshoff-Donnachie form to the same sieved set of pp and pp cross section and {rho} data that Block and Halzen used for a very good fit to a ln{sup 2}s parametrization. We show that the satisfaction of the analyticity constraints will require modification of the Landshoff-Donnachie parametrization for lower energies, thus altering its inherent appeal of simplicity and universality.

• OSTI ID: 20868146
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PROTON-ANTIPROTON INTERACTIONS
PROTON-PROTON INTERACTIONS
RHO-770 MESONS
SCATTERING
TOTAL CROSS SECTIONS